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Finding the Fourth Proportional to 105,655.65, 145,804.13 and 57,911.97

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Solution

The fourth proportional to 105,655.65, 145,804.13 and 57,911.97 is: 79,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655.65 : 145,804.13 = 57,911.97 : x
  2. Step 2: Convert to fraction form
    105,655.65/145,804.13 = 57,911.97/x
  3. Step 3: Cross multiply
    105,655.65x = 145,804.13 × 57,911.97
  4. Step 4: Simplify right side
    105,655.65x = 8,443,804,112.88
  5. Step 5: Solve for x
    x = 8,443,804,112.88/105,655.65
  6. Step 6: Final answer
    x = 79,918.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.